LCM of 672, 713, 880, 465, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 713, 880, 465, 537 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 672, 713, 880, 465, 537. So, keep reading to learn more.
Given numbers are 672,713,880,465,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,713,880,465,537 is 4717093920.
Find LCM of 672,713,880,465,537 with Prime Factorization
| 2 | 672, 713, 880, 465, 537 |
| 2 | 336, 713, 440, 465, 537 |
| 2 | 168, 713, 220, 465, 537 |
| 2 | 84, 713, 110, 465, 537 |
| 3 | 42, 713, 55, 465, 537 |
| 5 | 14, 713, 55, 155, 179 |
| 31 | 14, 713, 11, 31, 179 |
| 14, 23, 11, 1, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 31 x 14 x 23 x 11 x 1 x 179 = 4717093920
Therefore, the lowest common multiple of 672,713,880,465,537 is 4717093920.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
672 x 713 x 880 x 465 x 537 = 105285536294400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
713 : 1, 23, 31, 713
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
465 : 1, 3, 5, 15, 31, 93, 155, 465
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,713,880,465,537, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
713:23x 31
880:2x 2x 2x 2x 5x 11
465:3x 5x 31
537:3x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 5x 31 = 22320
Therefore, the value for common factors is 22320.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 105285536294400/(1x22320)
LCM = 105285536294400/22320
LCM = 4717093920
Thus, we can understand that the LCM of 672,713,880,465,537 is 4717093920.
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FAQs on LCM of 672, 713, 880, 465, 537
1. What is the LCM of 672, 713, 880, 465, 537?
Answer: LCM of 672, 713, 880, 465, 537 is 4717093920.
2. How to calculate the LCM of 672, 713, 880, 465, 537?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 672, 713, 880, 465, 537.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.